Hoi Nguyen

About

Hoi Nguyen is a Professor in the Department of Mathematics at The Ohio State University. He earned his PhD from Rutgers University in 2010. His areas of expertise include combinatorics, probability, and stochastic processes. Nguyen's research focuses on these fields, contributing to the understanding of complex mathematical structures and probabilistic models. He is involved in academic activities within the department and collaborates on various research projects related to his areas of specialization.

Research topics

• Discrete mathematics
• Mathematical analysis
• Combinatorics
• Physics
• Mathematics

Selected publications

• Universality for cokernels of random matrix products

  Advances in Mathematics · 2023-12-11 · 13 citations

  articleOpen access1st author

  For random integer matrices M1,…,Mk∈Matn(Z) with independent entries, we study the distribution of the cokernel Cok(M1⋯Mk) of their product. We show that this distribution converges to a universal one as n→∞ for a general class of matrix entry distributions, and more generally show universal limits for the joint distribution of Cok(M1),Cok(M1M2),…,Cok(M1⋯Mk). Furthermore, we characterize the universal distributions arising as marginals of a natural generalization of the Cohen-Lenstra measure to…

  PublisherDOI

• Exponential concentration for the number of roots of random trigonometric polynomials

  Annales de l Institut Henri Poincaré Probabilités et Statistiques · 2024-05-01 · 3 citations

  article1st authorCorresponding

  Nous montrons que le nombre des racines réelles de polynômes trigonométriques aléatoires avec des coefficients i.i.d., qui sont soit bornés soit satisfont l’inégalité de Sobolev logarithmique, vérifie une concentration exponentielle de mesure.

  PublisherDOI

• Local and global universality of random matrix cokernels

  Mathematische Annalen · 2024-11-27 · 1 citations

  article1st authorCorresponding
  PublisherDOI

• A note on inverse results of random walks in abelian groups

  Combinatorics and Number Theory · 2024-03-13 · 1 citations

  article
  PublisherDOI

• Concentration of the number of real roots of random polynomials

  Electronic Journal of Probability · 2025-01-01

  articleOpen access

  Many statistics of roots of random polynomials have been studied in the literature, but not much is known on the concentration aspect. In this note we present a systematic study of this question, aiming towards nearly optimal bounds to some extent. Our method is elementary and works well for many models of random polynomials, with Gaussian or non-Gaussian coefficients.

  PublisherOA PDFDOI

Recent grants

• Singularity, Universality, and Smoothness of Random Walks

  NSF · $137k · 2016–2019

• CAREER: Littlewood-Offord Theory and Universality in Random Structures

  NSF · $400k · 2018–2024

• Inverse Problems and Their Applications

  NSF · $82k · 2013–2016

Frequent coauthors

• Van Vu

  47 shared

• Thanh Khiem Nguyen

  Bạch Mai Hospital

  32 shared

• Tuan Hiep Luong

  29 shared

• Yen Do

  University of Virginia

  18 shared

• Kim Khue Dang

  VinUniversity

  18 shared

• Van H. Vu

  16 shared

• Van Duy Le

  16 shared

• Hong Son Trinh

  Viet Duc Hospital

  14 shared

Labs

• Hoi Nguyen LabPI

Education

• Ph.D, Mathematics

  Rutgers, The State University of New Jersey

  2010

Awards & honors

• Graduate Teaching Awards

Similar researchers at Ohio State University

• Wonjun Leeh-84
• David Andersonh-70
• Martin Golubitskyh-61